Question

Find the value of x. A. 25 B. 32.5 C. 37.5 D. 65

Answer 1

Answer:  The correct option is (A) 25.

Step-by-step explanation:  We are given to find the value of x from the figure shown.

From the figure, we note that there are two parallel lines and a transversal.

Also, the angles with measurements (x + 40)° and (3x - 10)° are corresponding angles.

Since the measures of two corresponding angles are equal, so we must have

$(x+40)^\circ=(3x-10)^\circ\\\\\Rightarrow x+40=3x-10\\\\\Rightarrow 3x-x=40+10\\\\\Rightarrow 2x=50\\\\\Rightarrow x=\dfrac{50}{2}\\\\\Rightarrow x=25.$

Thus, the required value of x is 25.

Option (A) is CORRECT.

Answer 2

The answer is A. 25.
Hope this helped!